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Math Help - Spherical coordinates!

  1. #1
    Junior Member
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    Help!

    Hey, im a college student at the university of oklahoma and couldnt figure out this problem, help would be greatly appreciated!

    (A)
    Find the linearization of the spherical change of coordinates map:
    <br />
f(p; \phi; \theta) = (p)\cos(\theta)\sin(\phi) ; (p)\sin(\theta)\sin(\phi) ; (p)\cos(\phi)<br />
    (B)
    Find the factor by which the linear map you found in (A) scales volume.
    Last edited by luckyc1423; July 8th 2006 at 07:21 PM.
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  2. #2
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    Quote Originally Posted by luckyc1423
    Hey, im a college student at the university of oklahoma and couldnt figure out this problem, help would be greatly appreciated!

    (A)
    Find the linearization of the spherical change of coordinates map:
    f(p; phi; theta) = ( (p)cos(theta)sin(phi) ; (p)sin(theta)sin(phi) ; (p)cos(phi) ):
    (B)
    Find the factor by which the linear map you found in (A) scales volume.
    The derivative you need is here.

    The factor is the absolute value of the Jacobian \rho^2 \sin \phi .
    Last edited by JakeD; July 8th 2006 at 07:51 PM.
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